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This article is cited in 1 scientific paper (total in 1 paper)
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach
U. Nasiba, T. Hussaina, A. H. Bokharib a Department of Mathematics, University of Peshawar, Pakistan
b Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Abstract:
We adopt a new approach to the study of homothetic vector fields of locally rotationally symmetric Bianchi type-I spacetimes. The obtained results are compared with the results of the direct integration technique and it is observed that the reduced involutive form (RIF) tree approach produces some new physically realistic metrics admitting proper homothetic vector fields, which were not given by the direct integration technique. The physical implications of the obtained metrics are also discussed by computing their energy–momentum tensors and connecting the parameters involved in the metrics with different energy conditions.
Keywords:
homothetic symmetries, LRS Bianchi type-I spacetime, energy condition.
Received: 24.04.2021 Revised: 14.06.2021
Citation:
U. Nasib, T. Hussain, A. H. Bokhari, “Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach”, TMF, 209:3 (2021), 414–426; Theoret. and Math. Phys., 209:3 (2021), 1673–1682
Linking options:
https://www.mathnet.ru/eng/tmf10118https://doi.org/10.4213/tmf10118 https://www.mathnet.ru/eng/tmf/v209/i3/p414
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Abstract page: | 125 | Full-text PDF : | 14 | References: | 37 | First page: | 5 |
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